The probability theories for IVFSs and IVIFSs

Authors:
Qing-Ping Wang;Guo-Jun Wang
Affiliations:
College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China and School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, China;College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China
Venue:
Computers & Mathematics with Applications
Year:
2011

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Abstract

Since the concept of IFS-probability was proposed, the probability theory for IF-events has been constructed. In this paper the concepts of IVFS-probability and IVIFS-probability are proposed for the first time. And the representation theorem for IVFS-probability is given. Furthermore, the relationships between IFS-probability, IVFS-probability and IVIFS-probability are discussed.